|Physics 11, Snell's Law Experiment - Patrick Bruskiewich|
A physics 11 experiment on refraction and Snell's Law. This document includes several ray tracings which can be used by students to do a take-home lab.
Keywords: Physics 11; Snell's Law Experiment; Refraction, Pythagoras Publishing
|Deriving Einstein's Mass - Energy Equation E = mc2 - Patrick Bruskiewich|
In a brilliant paper titled "Does the Inertia of a Body Depend upon its Energy-Content?" published in September 1905 in the German physics journal Annalen der Physik, 17, 1905 ("Ist die Tragheit eines Korpers von seinem Energiegehalt abha¤ngig?") Einstein was able to show that the mass of an object is a measure of its energy content. In this Ï - Physics Initiative in Education module Einstein's Mass-Energy Equation E = mc2 is derived and some of its implications are described...
Keywords: Einstein; Mass-Energy; E = mc2; Momentum of Light; Nichols - Hull; Einstein Box Thought Experiment; Sun and Fusion; Pion Decay and Relativistic Energy, Pythagoras Publishing
|Physics 12, Electrostatics - Patrick Bruskiewich|
A physics 12 talk titled Electrostatics.
Keywords: Physics 12; Electrostatics, Pythagoras Publishing
|Physics 11, Speed of Sound Experiment - Patrick Bruskiewich|
A physics 11 speed of sound experiment involving temperature dependence is the purpose of this experiment. The students take two measurements one with air above cold water and one with air above warm water, and then graphs and analyzes the data. A scatter plot of class results can be used in the analysis. This lab teaches several key physics lab concepts.
Keywords: Physics 11; Speed of Sound Experiment; temperature dependence, Pythagoras Publishing
|Canadian Undergraduate Physics Journal, January 2009 - Patrick Bruskiewich|
This is the January 2009 edition of the Canadian Undergraduate Physics Journal. This edition includes an interview of Canadian Astronaut and now Member of Parliament Marc Garneau as well as the historically significant article The U-2 and the Avro Arrow. Did you know that Canadian CF-86 Sabre jet pilots inadvertently downed an American U-2 over the skies of Europe in September 1956 ... killing Howard Carey the pilot? My editorial "To Boldly Go" recounts Canadian Space History and recommends the ...
Keywords: CUPJ; Canadian Undergraduate Physics Journal; January 2009; Interview Marc Garneau; The U-2 and the Avro Arrow; editorial To Boldly Go; ICEOO - The International Civil Earth Observation Organization; International Year of Astronomy, Pythagoras Publishing
|George Volkoff, UBC and the TRIUMF Project (the Lost Wheeler Letter and the Oppenheimer Hearings) - Patrick Bruskiewich|
This third article about George Volkoff describes his contributions to the University of British Columbia (UBC) and TRIUMF, Canada's National Accelerator Laboratory on the south campus of UBC. Included in this articles are stories, derived from primary sources, about Einstein, Leopold Infeld, Frederick Kaempffer, and Professor Opechowski (Pritchard should read Pickard in this article). Of special note are the comments by I.I...
Keywords: Volkoff; TRIUMF; I.I. Rabi; Edward Teller; hydrogen bomb; the lost Wheeler letter; the Oppenheimer Hearings; John Wheeler; CUPJ; cupj
|Copernicus Work Book - Patrick Bruskiewich|
A work book to introduce On the Revolutions of the Heavenly Spheres by Copernicus. The work book includes excerpts of Nicholas Copernicus' 1543 book, a biography, contributions By Sir Jean Jeans and Max Planck about Copernicus as well as a description of the Apparent Motion and Orbits of the Planets. A digital book prepared by Pythagoras Publishing of Vancouver, BC, Canada
Keywords: On the Revolutions of the Heavenly Spheres; Nicholas Copernicus; Sir Jean Jeans; Max Planck; Pythagoras Publishing
|The Myth of Language and the Kind and Gentle Woman - Patrick Bruskiewich|
There is no greater myth that perpetuates the feminist mystique than the myth that woman are by their very nature kind, thoughtful and altruistic. In reality, they are after all human just like the men. Many feminists strive to perpetuate biased stereotypes and questionable assumptions both about what it is to be female, and about maleness, male anger and male aggression. A look at the nature of Total War and the Nuremberg Tribunal Findings, about who voted Hitler into power and why...
Keywords: Myth; Kind and Gentle Woman; gender politics; Von Neumann Zero Sum Theory; Nash's Theory of Competitive Equilibrium; Democracy; Parliament; the Rule of Law; The International Court; the United Nations; NATO; male construct, Pythagoras Publishing
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|Albert Einstein, Karl Schwarzschild and the Schwarzschild Metric - Patrick Bruskiewich|
A close look at the life and work of Karl Schwarzschild and in particular the Schwarzschild Metric and his two papers from 1916. It is evident that scientists like Riemann and Schwarzschild were looking at gravity as a curving of space long before Einstein and his famous 1916 paper on the Theory of General Relativity. Einstein was definitely not the first physicist to suggest that space-time was curved...
Keywords: Karl Schwarzschild; Albert Einstein; Schwarzschild Metric; George Volkoff; Oppenheimer; Riemann; equation of state, Oppenheimer-Volkoff Equation of State
|A Look at Gifted Children in the Sciences, Four Case Studies - Patrick Bruskiewich|
Prodigiousness is shared between boys and girls, but genius is predominately a male attribute. The four case studies look at Albert Einstein, Kurt Godel, Paul Erdos and Srinivasa Ramanujan. Gifted Children have special needs. While gifted children inspire admiration, left to their own devices in a normal classroom, they suffer neglect, ridicule and misunderstanding.
Keywords: Albert Einstein; Kurt Godel; Paul Erdos; Srinivasa Ramanujan; Case Study Gifted Children, Pythagoras Publishing
|Personal Recollections about P.A.M. Dirac, by Dr. Maurice Pryce - Patrick Bruskiewich|
Some personal recollections about the life and achievements of Paul Dirac by Maurice Pryce, one of Dirac's finest graduate students. You will enjoy the comments by Kapitza teasing Dirac "positive electrons ... positive electrons, put that into your theory!" at a Cambridge symposium in late 1932/early 1933. Of course Dirac would do so and win a Nobel Prize in Physics for his theory of the Relativistic Positron...
Keywords: Paul Dirac; Maurice Pryce; Kapitza; positive electrons; positrons; Quantum Mechanics, Nobel Prize in Physics, Pythagoras Publishing
|A Novel Look at the One Dimensional Dirac Delta Schrodinger Equation - Patrick Bruskiewich|
In this paper both integral transform techniques and an algebraic formulation of the second order differential equation are used to derive the solution for the one dimensional Dirac delta Schrodinger equation. These are novel approaches which are not found in any standard textbook. Both the Transform and reformulation techniques provide new insight into the one dimensional Dirac delta Schrodinger equation...
Keywords: One Dimensional Dirac Delta Schrodinger Equation; Transform technique; Algebraic Reformulation; attractive Dirac delta function, Pythagoras Publishing
|Physics 12, Coulomb's Law - Patrick Bruskiewich|
A physics 12 talk titled Coulomb's Law.
Keywords: Physics 12; Coulomb's Law, Pythagoras Publishing
|Solutions in Complex Analysis: Part 2 - Patrick Bruskiewich|
Some additional Complex analysis solutions, taken from Complex Variables and Applications, R.V. Churchill, 2nd Edition. More to come! the author does complex mathematics to relax !
Keywords: Complex Analysis; solutions; residue theory
|Using Operator Calculus to Teach Simple Harmonic Motion with Damping - Patrick Bruskiewich|
Where physics students have a limited understanding of calculus, it is possible to use Operator Calculus to teach simple harmonic oscillation with damping. The author used this approach with a Physics 101 class with much success.
Keywords: Operator Calculus; Simple Harmonic Motion; Damping
|Solutions in Complex Analysis: Part 3 - Patrick Bruskiewich|
Some additional solutions to Complex Analysis Problems,from Churchill version two, as well as one general solution to a common geometry problem. Having this general result makes an entire class of integrals straightforward to evaluate. Note the symmetry between integrals with cos or sin in the denominator. In part 4 I shall solve for the sum in question 2. More solutions to come â¦. having so much fun!
Keywords: Complex Analysis; solutions; residue theory, Pythagoras Publishing
|The U-2 and the Avro Arrow - Patrick Bruskiewich|
In September 1956 Canadian RCAF fighter pilots flying CF-86 Sabre jets with NATO in Europe inadvertently down an American CIA U-2 over Germany. The pilot Howard Carey was killed. The Canadian Incident, as it has become known, is inextricably tied to the decision to cancel the Avro Arrow CF-105 project in February 1959. The reader is welcome to read the Canadian Incident script as well posted at archive.org...
Keywords: U-2; Avro Arrow; CF-86 Sabre jets; RCAF; CIA., Pythagoras Publishing
|Nuclear Physics by Enrico Fermi: Chapter 1 - Patrick Bruskiewich|
Nuclear Physics by Enrico Fermi Chapter 1, Properties of Nuclei University of Chicago Press, 1950
Keywords: Enrico Fermi; Nuclear Physics; textbook; Chapter 1, Properties of Nuclei, packing fraction, binding energy, semi-empirical atomic mass formula, shell, spin, two element radioactive decay chain
|A Simple Derivation of the Equations of Einstein's Theory of Special Relativity - Patrick Bruskiewich|
The implications of the two simple postulates of Special Relativity proposed by Albert Einstein are presented in a succinct form in this paper. Two additional heuristic postulates are explained. The simple algebraic derivation of the equations of Special Relativity was shared by the author to Dr. F. A. Kaempffer and Dr. George Volkoff during the course of a pleasant conversation in 1984.
Keywords: Einstein; Special Relativity; Simple Derivations; Lorentz Transformation; heuristic postulates
|Emily Carr, Basics of Perspective, Science 201 (week 2) - Patrick Bruskiewich|
The week two notes titled Basics of Perspective, for Science 201, Vision Perception and Science taught by the author at the Emily Carr Institute for Art and Design (refer to Science 201 Course Outline).
Keywords: Emily Carr Institute for Art and Design; Science 201; Basics of Perspective
|Emily Carr, Gestalt, Science 201 (week 13) - Patrick Bruskiewich|
The week thirteen notes titled Gestalt, for Science 201, Vision Perception and Science taught by the author at the Emily Carr Institute for Art and Design (refer to Science 201 Course Outline).
Keywords: Emily Carr Institute for Art and Design; Science 201; Gestalt
|Measuring the Value of G - The Gravitational Constant - Patrick Bruskiewich|
A simple approach using a long beam balance is used to measure the mass of the earth and then a simple pendulum is used to the Gravitational Constant G. A value close to the generally accepted value for G is determined. This paper was first published in the Gamma Magazine at the Niels Bohr Institute in Copenhagen, Denmark.
Keywords: Measuring the Value of G; The Gravitational Constant; long beam balance
|Searching for Prime Numbers using Prime Number Strings - Patrick Bruskiewich|
Prime Numbers are of fundamental importance to number theory. The most direct way to find Prime Numbers is to use an algorithm, such as the Sieve of Eratosthenes. There is a simple algorithm, or Sieve, involving Prime Number Strings which will be presented in this short paper.
Keywords: Prime Number; Algorithm; Prime Number String; Sieve, mathematics
|Using the Weierstrass Substitution to Solve the Integrals for Cosine and Sine - Patrick Bruskiewich|
To simplify an integral that is a rational function in cos(x) or sin(x), a substitution of the form t= tanâ¡(ax/2) will convert the integrand into an ordinary rational function in t. This substitution, is known as the Weierstrass Substitution, and honours the mathematician, Karl Weierstrass (1815-1897) who developed the technique. In this short paper the integrals for sine and cosine are solved using the Weierstrass Substitution
Keywords: Weierstrass Substitution; Integration; Calculus; mathematics; mathematician; cosine; sine; rational expression; transformation
|Physics 12, Millikan and the Oil Drop Experiment - Patrick Bruskiewich|
A physics 12 talk titled Millikan and the Oil Drop Experiment.
Keywords: Physics 12; Millikan and the Oil Drop Experiment
|G. H. Hardy Quotes from his A Mathematician's Apology - Patrick Bruskiewich|
In this little paper I have collected some quotes from A Mathematician's Apology by G.H. Hardy, Cambridge University Press, 1967. This little article was lost amongst the author's notes in 1983 and only recently found in a box of old manuscripts.
Keywords: G.H. Hardy; Quotes from A Mathematician's Apology; mathematics; creativity; life in general; Einstein
|The Parity Operator for the Quantum Harmonic Oscillator - Patrick Bruskiewich|
In undergraduate quantum mechanics parity is introduced with the creation and annihilation operators (the Fock representation) for the one dimensional quantum harmonic oscillator. In this paper a pedagogical approach is taken to derive the parity operator in terms of this operator formalism.
Keywords: Parity Operator; Quantum Harmonic Oscillator. creation operator; annihilation operator; Fock representation; CUPJ; cupj
|The Lusitania ("Lucy"), the Shell Crisis and Special Intelligence - Patrick Bruskiewich|
On May 7th, 1915 a submarine of the German Imperial Navy sank the 32,000 tonne Maritime Fleet Auxiliary Lusitania off the south coast of Ireland. The sinking of this Cunard Line passenger ship resulted in the loss of some 1,200 men, women and children, including 118 Americans, and a number of Canadians as well. Lucy, as Lusitania was affectionately called by the British, was sunk by torpedos fired at its beam within 20 km of the Old Head of Kinsale, Ireland...
Keywords: Lusitania; Lucy; Special Intelligence; Winston Churchill; sinking of the Lusitania; the Shell Crisis of 1915
|Canadian Undergraduate Physics Journal, Spring 2010 - Patrick Bruskiewich|
This is the spring 2010 edition of the Canadian Undergraduate Physics Journal. I was Editor in Chief of the CUPJ until then. The youngster who came after me were not able to keep the little journal that could in operation. It has been defunk since April 2010. As the most recently published EiC for this journal I feel the obligation to archive the journal for general use.
Keywords: Canadian Undergraduate Physics Journal; Spring 2010; Editorial Counting the years back five centuries; thanks to Queen Elizabeth; CAP; Student Affairs; Alpha Experiment; Cyclotron Production Tc-99m; SPECT; Kepler, CUPJ, Pythagoras Publishing
|Station Point Grey and Very Special Intelligence: Part 3 - Patrick Bruskiewich|
The third part of as four part history of Station Point Grey and Special Intelligence, this part looks at the final months of the War in the Pacific and in particular why atom bombs were dropped on the strategic military targets of Hiroshima and Nagasaki. This part also looks at the Asian Holocaust where upwards of thirty million people were murdered by the Empire of Japan between 1937 and 1945, OPERATION DOWNFALL the planned invasions of Japan, the attacks on the West Coast of Canada by submari...
Keywords: Station Point Grey; Special Intelligence; the Asian Holocaust; Fire Balloons; submarine attacks; West Coast; Fire Balloons; Unit 731; Ishii; biological warfare; the Stockholm Understanding; the Okamoto Edit; Unconditional Surrender; Emperor Hirohito; war crimes; Tokyo Tribunal, Pythagoras Publishing
|Introduction to the Theory of Relativity: Part 4 - Patrick Bruskiewich|
Introduction to the Theory of Relativity by Peter Bergmann Part 4: Chapter 15 - 18 Prentice Hall, New York, 1948
Keywords: Bergmann; Introduction to the Theory of Relativity; Equations of Motion; Weyl's Gauge Invariant Geometry; Kaluza-Klein five dimensional theory; Generalization of Kaluza's Theorem
|Introduction to the Theory of Relativity: Part 1 - Patrick Bruskiewich|
Introduction to the Theory of Relativity by Peter Bergmann Part 1: Chapters 1- 5 Prentice Hall, New York , 1948
Keywords: Bergmann; Introduction to the Theory of Relativity; Frames of Reference; Coordinate Transformation; Classical Mechanics; Light; Lorentz Transformation; Vector Calculus; Tensor Calculus
|Canadian Undergraduate Physics Journal, November 2009, Part 1 - Patrick Bruskiewich|
The November 2009 edition of the Canadian Undergraduate Physics Journal, part 1. As Editor in Chief of this edition's publication I am posting this edition in two parts. There is an interview of Dr. Ralph Sultan and my editorial "Always be a Good Samaritan."
Keywords: Canadian Undergraduate Physics Journal; November 2009; Part 1; Ralph Sultan; Always Be a Good Samaritan
|Station Point Grey and Very Special Intelligence: Part 2 - Patrick Bruskiewich|
In this article, part 2 of the series, the role that Station Point Grey played in the war against the blockade running German and Japanese submarines is presented with an emphasis on the transfer of special cargo such as men and strategic materials, as well as drawings and parts for advanced radar, aircraft, rocket and electronics, is presented. The Asaka Maru Affair from 1941 is presented, The planning and lead up to the attack on Pearl Harbour by the Imperial Japanese Navy is described, with p...
Keywords: Station Point Grey; Special Intelligence; Tokyo Berlin messages; UBC; Arlington Hall; Bletchley Park; NSA; decrypts; blockade running submarines; Asaka Maru; Winston Churchill; R. V. Jones; Scientific Intelligence; radar; aircraft; U-864; I-52; TRICYCLE; Pearl Harbour; Taranto Raid, Pythagoras Publishing
|Solutions in Complex Analysis: Part 1 - Patrick Bruskiewich|
Solutions to some problems taken from Complex Variables and Applications, R.V. Churchill, 2nd Edition, p.171 More to come! the author does complex mathematics to relax !
Keywords: Complex Analysis; solutions; residue theory, Pythagoras Publishing
|An Introduction to Heat Transport by Conduction and Fourier's Law - Patrick Bruskiewich|
This short paper is a non-calculus introduction to the theory of heat transport by conduction and to Fourier's Law. The paper includes seven examples and three questions for students at a first year university level. One of the examples looks at the Igloo as a practical winter structure.
Keywords: Heat Transport; heat conduction; heat flux; Fourier's Law; non-calculus; the electrical analogy to heat loss; the igloo; vapour barrier; Pythagoras Publsihing
|Emily Carr, Science and Art Leonardo da Vinci , Science 201 (week 2) - Patrick Bruskiewich|
The week two notes titled Science and Art - Leonardo da Vinci, for Science 201, Vision Perception and Science taught by the author at the Emily Carr Institute for Art and Design (refer to Science 201 Course Outline).
Keywords: Emily Carr Institute for Art and Design; Science 201; Science and Art; Leonardo da Vinci, Pythagoras Publishing
|Admiralty Brief (Part 1) - Patrick Bruskiewich|
Admiralty Brief by Capt. Edward Terrell RN, O,B.E., QC Part 1, Chapter 1 to 10, pages 1 -135 George G. Harrap & Co. London, 1958 Dedicated to "My Lords of the Admiralty of the Second World War."
Keywords: Admiralty Brief; Edward Terrell; Royal Navy; Admiralty; Technology; ASW; Disney Bomb; Plastic Armour; Scorpion; Capture U-570
|The Period of a Simple Pendulum, an elementary derivation without calculus - Patrick Bruskiewich|
In this article the period of a simple pendulum is derived using pre-calculus kinematics. This heurtistic approach is a good introduction to for non-calculus students to the kinematics of a simple pendulum. Mention is made of the early experiments of Leonardo da Vinci and of Galileo Galilei. Lagrange and Einstein.
Keywords: Period of a Simple Pendulum; Galileo; non-calculus; CUPJ; cupj, Pythagoras Publishing
|UBC, a university badly off course - Patrick Bruskiewich|
A November 2005 article in the Graduate Magazine at UBC. Due to a lack of imagination and leadership ... the academic heart and soul of UBC was cast adrift in the late 1990's and this once fine university, once considered the Cambridge of the West Coast, is perilously close to running aground. UBC's rankings has fallen with undergraduates and graduate students alike. Some departments are so left of centre that even Che Guevara would blush ...
Keywords: UBC; cast adrift; no longer a Cambridge; falling ranking
|Experiment 6 - The Lorentz Transformation, the Photoelectric Effect and the Millikan Oil Drop Experiment - Patrick Bruskiewich|
The purpose of this Physics 150 lab is to validate the Lorentz Transformation, to study the Photoelectric Effect and derive a value for the Planck Constant, as well as estimate the charge of an electron using data from the Millikan Oil Drop Experiment. In Study 1 you will confirm the Relativistic relationship between mass and velocity. In Study 2 you will study the Photoelectric Effect. In Study 3 you will analyze data from the Millikan oil drop experiment and estimate the charge of an electron.
Keywords: Lorentz Transformation; Photoelectric Effect; Planck Constant; Millikan Oil Drop Experiment
|The Parity Operator for the Quantum Harmonic Oscillator in the Jordan Representation - Patrick Bruskiewich|
The Parity Operator for the Quantum Harmonic Oscillator in the Jordan Representation.
Keywords: The Parity Operator; Quantum Harmonic Oscillator; Jordan Representation
|Physics Experiment 1, Longitudinal Disturbance - Patrick Bruskiewich|
There are very few introductory physics experiments that allow the study of longitudinal waves or disturbances. In this experiment the velocity of a disturbance along a row of toppling dominoes will be studied as a function of the spacing between the dominoes. The concept of scaling and characteristic curves will be used to find an expression for the velocity of a row of toppling dominoes as a function of the spacing.
Keywords: Longitudinal Disturbance; dominoes; scaling and fitting; parabolic best fit; Physics Experiment
|Wartime Service By Aboriginal Canadians During World War Two 3 - Patrick Bruskiewich|
A short analysis of the mortality of Aboriginal Canadian Servicemen who served the Crown and Parliament of Canada during the Second World War.The question of mortality rate and participation rates are analyzed. The mortality rate amongst Aboriginal Canadians during wartime service appears comparable to the mortality rate of Canadian servicemen in general.It appears that participation rates amongst Aboriginal Canadians was around 28 % compared to 41 % as the general participation rate.Along wit...
Keywords: Canada; Remembrance Day; Aboriginal Canadians; Mortality rates; participation rates
|Emily Carr, Perception of Motion, Science 201 (week 11) - Patrick Bruskiewich|
The week eleven notes titled Perception of Motion, for Science 201, Vision Perception and Science taught by the author at the Emily Carr Institute for Art and Design (refer to Science 201 Course Outline).
Keywords: Emily Carr Institute for Art and Design; Science 201; Perception of Motion
|Emily Carr, Photosensors Science 201 (week 6) - Patrick Bruskiewich|
The week six notes titled Photosensors, for Science 201, Vision Perception and Science taught by the author at the Emily Carr Institute for Art and Design (refer to Science 201 Course Outline).
Keywords: Emily Carr Institute for Art and Design; Science 201; Photosensors
|Station Point Grey and Very Special Intelligence: Part 1 - Patrick Bruskiewich|
This is an updated version of Part 1 uploaded in MS doc format. The first version has a number of typographical and grammatical mistakes which have been corrected. One errata at the end of the Little-Denniston agreement excerpt from the Bryden book is also revised. also the honorary degrees were granted in the spring of 2012.
Keywords: Station Point Grey; Special Intelligence; Ambassador Oshima; Tokyo; Berlin; UBC; Lester Pearson; Arlington Hall; Bletchley Park; NSA; decrypts
|Emily Carr, Science of Photography - Part 2, Science 201 (week 8) - Patrick Bruskiewich|
The week eight notes titled Science of Photography - Part 2, for Science 201, Vision Perception and Science taught by the author at the Emily Carr Institute for Art and Design (refer to Science 201 Course Outline).
Keywords: Emily Carr Institute for Art and Design; Science 201; Science of Photography; part 2
|Emily Carr, Linear Perspective and Perception, Science 201 (week 2) - Patrick Bruskiewich|
The week two notes titled Linear Perspective and Perception, for Science 201, Vision Perception and Science taught by the author at the Emily Carr Institute for Art and Design (refer to Science 201 Course Outline).
Keywords: Emily Carr Institute for Art and Design; Science 201; Linear Perspective and Perception
|Emily Carr, Science of Photography, Science 201 (week 7) - Patrick Bruskiewich|
The week seven notes titled Science of Photography, for Science 201, Vision Perception and Science taught by the author at the Emily Carr Institute for Art and Design (refer to Science 201 Course Outline).
Keywords: Emily Carr Institute for Art and Design; Science 201; Science of Photography